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ESAIM: Proc., 2009, Vol. 28, pp. 135-149
DOI: 10.1051/proc/2009043
Dry granular flows with erosion/deposition process
C.-Y. Kuo1, B. Nkonga2, M. Ricchiuto3, Y.-C. Tai4 and B. Braconnier51 Academia Sinica (Taiwan), cykuo06@gate.sinica.edu.tw
2 Nice Sophia-Antipolis univ. (France), nkonga@unice.fr
3 INRIA Bordeaux Sud-Ouest(France), mario.ricchiuto@inria.fr
4 Chi Nan Univ (Taiwan), yctai@ncnu.edu.tw
5 GLAIZER group innovation agency (France), benjamin.braconnier@glaizer.com
Published online: 23 November 2009
Abstract
In this work we use the erodible model proposed by Tai and
Kuo [18]
to investigate complex granular flows in which
deposition and erosion are significant. The initial motivation comes
from experiments of granular collapse which exhibit both phenomena. A
numerical model with a flux balanced scheme is developed, and the
eigenstructure of its quasilinear form as well as the entropy
inequality are assessed. Numerical application is performed for
granular column collapse is simulated by the new well-balanced scheme.
For the latter, numerical results demonstrate an upward evolution of
the interface between the flowing layer and stagnant base. Comparison
between the numerical and the experimental data not only illustrates
the advantages of this model of erosion/deposition mechanisms but also
reveals the future directions for further study.
Résumé
Ce travail consiste à utiliser un modèle proposé par Tai and
Kuo [18],
pour étudier un écoulement granulaire sec, dans lequel
l'érosion et la déposition jouent un rôle très important. Cette étude
est motivée par des expériences d'effondrement d'une colonne de sable,
qui montrent la coexistence des ces deux phénomènes physiques. Une
approche numérique consistante et préservant certaines asymptotiques
est étudiée et mise en œuvre. Les résultats numériques
sont globalement cohérents aux expériences. Néanmoins, ils révèlent
aussi les limites de l'actuelle modélisation du mécanisme
d'érosion/déposition et suggèrent de futures investigations.
© EDP Sciences, ESAIM 2009
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